Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem

被引：0
|
作者：
Paola F. Antonietti
Blanca Ayuso de Dios
Ilario Mazzieri
Alfio Quarteroni
机构：
[1] Ecole Polytechnique Federale de Lausanne (EPFL),CMCS
[2] Technische Universität Hamburg-Harburg,Institut für Mathematik
[3] Istituto di Matematica Applicata e Tecnologie Informatiche (IMATI) – CNR,Dipartimento di Matematica
[4] Università di Bologna,MOX, Dipartimento di Matematica
[5] Politecnico di Milano,undefined
来源：
Journal of Scientific Computing | 2016年 / 68卷
关键词：
Discontinuous Galerkin methods; Elastodynamics equation; Stability and error analysis; 65M12; 65M60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider semi-discrete discontinuous Galerkin approximations of both displacement and displacement-stress formulations of the elastodynamics problem. We prove the stability analysis in the natural energy norm and derive optimal a-priori error estimates. For the displacement-stress formulation, schemes preserving the total energy of the system are introduced and discussed. We verify our theoretical estimates on two and three dimensions test problems.
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页码：143 / 170
页数：27
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